It's hopeless. Many CTers claim Hoover was behind the assassination directing the conspiracy and cover up. But without missing a beat he is cited as the source of skepticism of Oswald's guilt. Imagine Hoover pulling strings to frame Oswald, exposing himself to disgrace and prison, but then entertaining a conspiracy. CTers cling to pedantic bits of evidence and make no effort to think about the implications of their own claims having any validity. It is just so. Here are a couple of questions.
WHY FAKE OSWALD'S PRESENCE IN MEXICO CITY? How would that advance the cause of the conspirators to frame him for the assassination? Particularly if all the blame is to be placed on Oswald as CTers allege and no apparent effort is made by the most commonly named conspirators like the WC, LBJ, or Hoover to link the crime to Cuba or Russia. In fact, CTers often criticize the WC for placing all the blame on Oswald and ignoring evidence of the possible involvement of others to avoid WWIII. Oswald was already a known political kook for his defection to the USSR. There is no need to fake his presence in Mexico City to further promote any such narrative.
HOW DO THE CONSPIRATORS ENSURE THAT OSWALD ISN'T IN THE PRESENCE OF ANYONE DURING THIS TIMEFRAME WHO COULD PLACE HIM ELSEWHERE? That could only be done if Oswald was cooperating with the conspirators. In which case, the obvious solution to their problem is to - wait for it - send Oswald to Mexico City. There is no conceivable scenario where a fake Oswald is sent to Mexico City and the real Oswald continues to go about his life in Mr. Magoo-like bliss while being implicated in the assassination.
I've read that the conspiracy believers who say he was impersonated argue that this staging of Oswald's visit to the Soviet Embassy was a sort of poison pill that was done to limit any investigation into the assassination; that Warren was told by LBJ that WWIII could result and that he shouldn't look into areas like Mexico City since it could lead to Armageddon.
So it wasn't intended to frame him for the assassination but was intended to connect the Soviets to it. And by doing so limit the investigation - essentially stop it - out of fear of war with Moscow. Of course the Soviet Union disappeared in 1991 and many of the WC people were alive at that time. There was no chance of war since the USSR didn't exist. Why not reveal that part of the coverup?
Dan Hardway worked for the HSCA and the so-called "Lopez Report" which investigated the Mexico City matter. He says Oswald DID go to Mexico City but was ordered to do so by his control agent David Atlee Phillips. Yes, Oswald was a CIA asset. This was done by the real murderers - dramatic pause, *THE CIA* - in order to connect the assassination to Moscow and Havana. And in turn, as I mention above, it was done to limit the investigation since it would lead to the Soviets and a possible war. So the actual assassins of JFK were able to escape discovery because the investigation was limited due to Oswald's visit to the Soviet Embassy. Whew.
In any case, I still want to know why they would do this, send an impersonator to connect Oswald with the Cubans and Soviet, and then
release their photo of the supposed impersonator they sent and thus expose their very own plan. Then Hoover, on a phone call with LBJ, exposes the plan as well? Furthermore, how could they get the Soviets - who said at that time and over the next decades - that it *was* Oswald that they met to go along with it? Does everything have be understood through a conspiracy worldview, a conspiracy perspective? Is this the only way conspiracy advocates can see things?
Anyway, some (many?) conspiracists think the Zapruder film was faked, the backyard photos were faked, the autopsy x-rays and photos faked: would they really accept a photo of Oswald at the Soviet Embassy from the CIA? And if *they* faked all of this other evidence why didn't they fake a photo of Oswald in MC? It's illogical and contradictory.